A 3D time-domain method for predicting the wave-induced forces and motions of a floating body

This study presents a 3D time-domain Green function method for predicting the wave-induced forces and motions of a floating body. The problem is considered in the cases of both infinite and finite water depths. Based on convolution theory, the convolution of the time-domain Green function and the velocity potential is replaced by the product of their Fourier transformations. A recursive formula for the convolution is proposed in terms of the frequency-domain Green function. This formula provides an efficient way to perform a long-time numerical simulation because the associated computational cost is constant over time. Furthermore, higher-order panels are used to give precise and continuous representations of the body geometry and the velocity potential over the body hull. Computed results for a hemisphere and a Wigley hull are compared with published results, and the comparisons indicate that the various results are in good agreement.

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